Mathematical Theory and Applications ›› 2017, Vol. 37 ›› Issue (2): 73-78.

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Extension of the Wallis Formula and Stirling Formula

Han Kai   

  1. College of Opto-Electronic Science and Engineering National University of Defense Technology,Changsha 410073,China
  • Online:2017-06-30 Published:2020-09-23

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Abstract: Wallis’formula and Stirling’s formula are two important formulas in advanced mathematics.In this paper we firstly extend these formulas to non-integer situation to yield a generic Wallis formula and a generic Stirling formula, and then investigate the relation between these formulas.

Key words: Wallis＇formula, Stirling＇s formula, FunctionΓ(x), Function B(p,q)

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